The Resource Banach Space Theory : The Basis for Linear and Nonlinear Analysis, by Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos, Václav Zizler, (electronic resource)

Banach Space Theory : The Basis for Linear and Nonlinear Analysis, by Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos, Václav Zizler, (electronic resource)

Label
Banach Space Theory : The Basis for Linear and Nonlinear Analysis
Title
Banach Space Theory
Title remainder
The Basis for Linear and Nonlinear Analysis
Statement of responsibility
by Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos, Václav Zizler
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: - Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory - Covers Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal's L1 theorem, fixed points, and more - Includes information about further topics and directions of research and some open problems at the end of each chapter - Provides numerous exercises for practice The text is suitable for graduate courses or for independent study. Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book
Member of
Is Subseries of
http://library.link/vocab/creatorName
Fabian, Marián
Dewey number
515/.732
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • 7cDFi2qTwIw
  • xBkk7-MJSdM
  • EqfKGLwXZdk
  • Rg88wt5n7Tk
  • vdRNJ9CJHSo
Language note
English
LC call number
QA319-329.9
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Canadian Mathematical Society
  • Habala, Petr.
  • Hájek, Petr.
  • Montesinos, Vicente.
  • Zizler, Václav.
Series statement
  • CMS books in mathematics,
  • CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
http://library.link/vocab/subjectName
  • Functional analysis
  • Topology
  • Functional Analysis
  • Topology
Label
Banach Space Theory : The Basis for Linear and Nonlinear Analysis, by Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos, Václav Zizler, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Preface -- Basic Concepts in Banach Spaces -- Hahn-Banach and Banach Open Mapping Theorems -- Weak Topologies and Banach Spaces -- Schauder Bases -- Structure of Banach Spaces -- Finite-Dimensional Spaces -- Optimization -- C^1 Smoothness in Separable Spaces -- Superreflexive Spaces -- Higher Order Smoothness -- Dentability and differentiability -- Basics in Nonlinear Geometric Analysis -- Weakly Compactly Generated Spaces -- Topics in Weak Topologies on Banach Spaces -- Compact Operators on Banach Spaces -- Tensor Products -- Appendix -- References -- Symbol Index -- Subject Index -- Author Index
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (819 p.)
Form of item
online
Isbn
9781441975157
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4419-7515-7
Specific material designation
remote
System control number
  • (CKB)2670000000072038
  • (EBL)3066418
  • (SSID)ssj0000475901
  • (PQKBManifestationID)11315871
  • (PQKBTitleCode)TC0000475901
  • (PQKBWorkID)10470686
  • (PQKB)10576849
  • (DE-He213)978-1-4419-7515-7
  • (MiAaPQ)EBC3066418
  • (EXLCZ)992670000000072038
Label
Banach Space Theory : The Basis for Linear and Nonlinear Analysis, by Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos, Václav Zizler, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Preface -- Basic Concepts in Banach Spaces -- Hahn-Banach and Banach Open Mapping Theorems -- Weak Topologies and Banach Spaces -- Schauder Bases -- Structure of Banach Spaces -- Finite-Dimensional Spaces -- Optimization -- C^1 Smoothness in Separable Spaces -- Superreflexive Spaces -- Higher Order Smoothness -- Dentability and differentiability -- Basics in Nonlinear Geometric Analysis -- Weakly Compactly Generated Spaces -- Topics in Weak Topologies on Banach Spaces -- Compact Operators on Banach Spaces -- Tensor Products -- Appendix -- References -- Symbol Index -- Subject Index -- Author Index
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (819 p.)
Form of item
online
Isbn
9781441975157
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4419-7515-7
Specific material designation
remote
System control number
  • (CKB)2670000000072038
  • (EBL)3066418
  • (SSID)ssj0000475901
  • (PQKBManifestationID)11315871
  • (PQKBTitleCode)TC0000475901
  • (PQKBWorkID)10470686
  • (PQKB)10576849
  • (DE-He213)978-1-4419-7515-7
  • (MiAaPQ)EBC3066418
  • (EXLCZ)992670000000072038

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